https://ibt2calc.ets.org/practicetest
1. Knows how to solve problems involving perimeter, area, surface area, and volume
a. calculate and interpret perimeter and area of geometric shapes
b. calculate and interpret surface area and volume of geometric shapes
c. use two-dimensional representations of three-dimensional objects to visualize and solve problems
2. Understands the concepts of similarity and congruence
a. use similarity and congruence to solve problems with two-dimensional and three dimensional figures
3. Understands properties of lines (e.g., parallel, perpendicular, intersecting) and angles
a. solve problems involving parallel, perpendicular, and intersecting lines
b. apply angle relationships (e.g., supplementary, vertical, alternate interior) to solve problems
4. Understands properties of triangles
a. solve problems that involve sides (e.g., Pythagorean theorem) and angles
b. solve problems that involve medians, midpoints, and altitudes
c. solve problems involving special triangles (e.g., isosceles, equilateral, right)
5. Understands properties of quadrilaterals (e.g., rectangle, rhombus, trapezoid) and other polygons
a. know geometric properties of various quadrilaterals (e.g., parallelogram, trapezoid)
b. know relationships among quadrilaterals
c. solve problems involving angles and diagonals
d. solve problems involving polygons with more than four sides
6. Understands properties of circles
a. solve problems involving circumference and area of a circle
b. solve problems involving diameter or radius of a circle
c. solve basic problems involving central angles, tangents, arcs, and sectors
7. Knows how to interpret geometric relationships in the xy-plane (e.g., transformations, distance, midpoint)
a. use coordinate geometry to represent and examine the properties of geometric shapes (e.g., Pythagorean theorem, area of rectangle)
b. determine the distance between two points
c. determine the midpoint of a line segment given its endpoints
d. interpret and solve problems involving transform
8. Understands systems of measurement (e.g., metric, customary)
a. solve measurement and estimation problems involving time, length, temperature, volume, and mass in both U.S. customary and metric systems, where appropriate
b. convert units within each system
9. Is familiar with how geometric constructions are made
a. identify formal geometric constructions made with a variety of tools and methods (e.g., copying a segment, bisecting an angle, constructing parallel and perpendicular lines)